Transposed Poisson structures on solvable Lie algebras with filiform nilradical
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910607702228992 |
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| author | Abdurasulov, Kobiljon Adashev, Jobir Eshmeteva, Sabohat |
| author_facet | Abdurasulov, Kobiljon Adashev, Jobir Eshmeteva, Sabohat |
| contents | In this article, we described 1/2-derivations of solvable Lie algebras with a thread-like nilradical. Nontrivial transposed Poisson algebras with solvable Lie algebras are constructed. That is, by using 1/2-derivations of Lie algebras, we have established commutative associative multiplication to construct a transposed Poisson algebra with an associated given Lie algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_04443 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Transposed Poisson structures on solvable Lie algebras with filiform nilradical Abdurasulov, Kobiljon Adashev, Jobir Eshmeteva, Sabohat Rings and Algebras 17A30 (Primary), 17B40, 17B61, 17B63 (Secondary) In this article, we described 1/2-derivations of solvable Lie algebras with a thread-like nilradical. Nontrivial transposed Poisson algebras with solvable Lie algebras are constructed. That is, by using 1/2-derivations of Lie algebras, we have established commutative associative multiplication to construct a transposed Poisson algebra with an associated given Lie algebra. |
| title | Transposed Poisson structures on solvable Lie algebras with filiform nilradical |
| topic | Rings and Algebras 17A30 (Primary), 17B40, 17B61, 17B63 (Secondary) |
| url | https://arxiv.org/abs/2401.04443 |